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Finding the Third Proportional to 95,032 and 200,792

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Solution

The third proportional to 95,032 and 200,792 is: 424,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,032 : 200,792 = 200,792 : x
  2. Step 2: Convert to fraction form
    95,032/200,792 = 200,792/x
  3. Step 3: Cross multiply
    95,032x = 200,792 × 200,792
  4. Step 4: Simplify right side
    95,032x = 40,317,427,264
  5. Step 5: Solve for x
    x = 40,317,427,264/95,032
  6. Step 6: Final answer
    x = 424,251.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.